Pilot-wave dynamics in a harmonic potential: Quantization and stability of circular orbits

We present the results of a theoretical investigation of the dynamics of a droplet walking on a vibrating fluid bath under the influence of a harmonic potential. The walking droplet's horizontal motion is described by an integro-differential trajectory equation, which is found to admit steady o...

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Bibliographic Details
Main Authors: Labousse, M., Oza, Anand Uttam, Perrard, S., Bush, John W. M.
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:English
Published: American Physical Society 2016
Online Access:http://hdl.handle.net/1721.1/101774
https://orcid.org/0000-0002-7936-7256